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	Robust ARIMA मॉडल	स्टेट स्पेस मॉडल (कलमन फिल्टर)
क्षेत्र	अर्थमिति	अर्थमिति
परिवार	Regression model	Regression model
उद्भव वर्ष	1986–1993	1990
प्रवर्तक	Tsay (1986); Chen & Liu (1993)	Harvey; Durbin & Koopman (state space treatment); Kalman filter
प्रकार	Robust time series model	State space time series model
मौलिक स्रोत	Tsay, R. S. (1986). Time series model specification in the presence of outliers. Journal of the American Statistical Association, 81(393), 132–141.	Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press.
उपनाम	robust ARIMA, outlier-resistant ARIMA, robust time series estimation, ARIMA with outlier detection	state space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter)
संबंधित	4	4
सारांश	Robust ARIMA extends the classical ARIMA framework to detect and correct the influence of outliers and structural breaks during estimation. By jointly identifying anomalous observations and re-estimating model parameters, it produces coefficient estimates and forecasts that are far less distorted by isolated shocks or data errors than standard ARIMA.	A state space model is a general time series framework that describes a series through unobserved (latent) state variables linked by a measurement equation and a transition equation, with the states estimated in real time by the Kalman filter. Developed in the state space tradition of Harvey (1990) and Durbin & Koopman (2012), it nests ARIMA and exponential smoothing as special cases.